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JEE Main 20172 April
Exam
JEE Main
Year
2017
Date
2 April
Subject
Chemistry
Chapter
Solutions

JEE Main 2017 · 2 April · Chemistry · Solutions

The freezing point of benzene decreases by 0.45 ^ ° C on adding 0 ....

The freezing point of benzene decreases by 0.45°C{0.45}^{°}C on adding 0.2g0 . 2g of acetic acid to 20g20g of benzene. If acetic acid associates to form a dimer in benzene, then what is the percentage association of acetic acid in benzene?

(Kfforbenzene=5.12Kkgmol−1)\left({K}_{f}forbenzene = 5 .12 Kkg{mol}^{- 1}\right)

Options

  1. A80.480 . 4 %
  2. B74.674 . 6 %
  3. C94.694 . 6 %
  4. D64.664 . 6 %

Correct answer

C. 94.694 . 6 %

Step-by-step solution

{2CH3COOH⇌(CH3COOH)21−αα2\begin{cases}2{CH}_{3}COOH & ⇌ & {\left({CH}_{3}COOH\right)}_{2} \\ 1 - \alpha & & \dfrac{\alpha}{2}\end{cases}

i=1−α2i = 1 - \dfrac{\alpha}{2}

ΔTf=i×Kf×m{\Delta T}_{f} = i \times {K}_{f} \times m

0.45=i×5.12×0.2×100060×200 .45 = i \times 5 .12 \times \dfrac{0 .2 \times 1000}{60 \times 20}

i=0.527=1−α2i = 0 .527 = 1 - \dfrac{\alpha}{2}

⇒α=0.946⇒ \alpha = 0 .946 or 94.694 . 6 %

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